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Finding the Fourth Proportional to 251,920.80, 377,657.64 and 102,271.68

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Solution

The fourth proportional to 251,920.80, 377,657.64 and 102,271.68 is: 153,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,920.80 : 377,657.64 = 102,271.68 : x
  2. Step 2: Convert to fraction form
    251,920.80/377,657.64 = 102,271.68/x
  3. Step 3: Cross multiply
    251,920.80x = 377,657.64 × 102,271.68
  4. Step 4: Simplify right side
    251,920.80x = 38,623,681,307.64
  5. Step 5: Solve for x
    x = 38,623,681,307.64/251,920.80
  6. Step 6: Final answer
    x = 153,316.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.